来自常恒的问题
若△ABC的三边长分别为a,b,c,则|a-b-c|-|b-a-c|=______.
若△ABC的三边长分别为a,b,c,则|a-b-c|-|b-a-c|=______.
1回答
2020-03-08 10:03
若△ABC的三边长分别为a,b,c,则|a-b-c|-|b-a-c|=______.
若△ABC的三边长分别为a,b,c,则|a-b-c|-|b-a-c|=______.
∵△ABC的三边长分别是a、b、c,
∴必须满足两边之和大于第三边,则a-b-c<0,b-a-c<0,
∴|a-b-c|-|b-a-c|
=-a+b+c+b-a-c
=-2a+2b.
故答案为:-2a+2b.